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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.15335 |
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| _version_ | 1866909913488293888 |
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| author | Lin, Zijie Ouyang, Kangbo |
| author_facet | Lin, Zijie Ouyang, Kangbo |
| contents | We construct a minimal subshift \((X^{*},σ)\) that serves as an open proximal extension of its maximal equicontinuous factor. We establish that every point in this subshift is multiply recurrent minimal. This work solves an open problem raised by Huang, Shao and Ye regarding the existence of minimal PI-systems such that each point is multiply minimal. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15335 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minimal PI-systems with all points are multiply minimal Lin, Zijie Ouyang, Kangbo Dynamical Systems We construct a minimal subshift \((X^{*},σ)\) that serves as an open proximal extension of its maximal equicontinuous factor. We establish that every point in this subshift is multiply recurrent minimal. This work solves an open problem raised by Huang, Shao and Ye regarding the existence of minimal PI-systems such that each point is multiply minimal. |
| title | Minimal PI-systems with all points are multiply minimal |
| topic | Dynamical Systems |
| url | https://arxiv.org/abs/2511.15335 |